UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > Find the locus of the extremities of the latus recta...
✕

Search in

Find the locus of the extremities of the latus recta of all ellipses having a given major axis 6a?

Asked by Last Modified  

2 Answers

Learn Class XI-XII Tuition (PUC) +2 Mathematics Ellipse

Follow 0
Answer

Please enter your answer

Maths Cracker

Let LSI be the latus rectum, C be the centre of the ellipse and the coordinates of L be (x, y) then x = CS = 3 ae ...... (1) And y = SL = b2/3a = (9a2(1 - e2))/3a = 3a (1 - e2) ...... (2) Eliminating the variable 'e' from (1) and (2) we get the locus of L. Hence putting the value of e from (1) and (2),...
read more
Let LSI be the latus rectum, C be the centre of the ellipse and the coordinates of L be (x, y) then x = CS = 3 ae ...... (1) And y = SL = b2/3a = (9a2(1 - e2))/3a = 3a (1 - e2) ...... (2) Eliminating the variable 'e' from (1) and (2) we get the locus of L. Hence putting the value of e from (1) and (2), we get:- y = 3a(1-x2/9a2) x2 = 9a2 - 3ay x2 = 3a(3a - y), which is clearly a parabola. Similarly, we can show that the locus of L' is x2 = 3ay(y + 3a) which is again a parabola. read less
Comments
Dislike Bookmark

IIT Bombay

Co-ordinate of extreme point of latus rectum would b (c,y).You can find ‘y’ by taking ‘x’ as ‘c’ in general equation,which comes out to b2/a.So the co-ordinate becomes {(a2-b2)1/2,b2/a}.Eliminating ‘b’ you will get a2-x2=ay.
Comments
Dislike Bookmark

Related Questions

How can I start online teaching?
For online teaching you can use Skype or Team Viewer as a tool or can check in google also for different online softwares who charge some amount yearly
Meena
which book is good for physical chemistry?
Physical chemistry by Dr. R.K.GUPTA
Ravi Ranjan
0 0
6
Batteries or cells convert __________. (Heat energy into electrical energy, nuclear energy into electrical energy, kinetic energy into electrical energy, chemical energy into electrical energy)
Chemical energy into electrical energy
Narendra Kumar
0 0
7
Number of zeros in 100!
24. Total 11 tens + 10 pairs + 3 pairs. . Shortcut:- there are total 24 '5's within 100 .
Ravi
0 0
6
Heat transfer by convection formula?
Heat transfer by convection formula? The heat transfer coefficient in thermodynamics and in mechanics is the proportionality coefficient between the heat flux and the thermodynamic driving force for...
Brijendra
0 0
7

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Best shortcuts to use in mathematics problems.
Many students ask me question "is there any shortcut methods to solve a question?" actually I want to refer to the answer of this question. First of all, shortcuts is not acceptable by your board exams....

Vishal Pandey

1 0
0
Co-operative Society And Types Of Co-op Societies-Class 11/12,Business Studies/OC
HSC

Rajiv Vadera

0 0
0
How To Score 90+ in Accountancy Class XII
Hi friends, I am witnessed with the few facts that how your performance gets improved by following activities. 1. Learn all the concepts focus upon learning and applying the concept rather than focusing...

Dinesh Verma

0 0
0
How To Prepare For Exams?
When you are preparing for subjects, take 2 subjects at a time (one difficult and one easy). First start with your difficult subject and spend as much time as you can. So, when you feel you are stressed...

Akhilaa Panaganti

2 0
0
For IIT / NEET Aspirants: The Acid Dissociation Constant Pka
The acid dissociation constant Ka is a quantitative measure of the strength of an acid in the solution. Pka: A larger Ka value means a stronger tendency to dissociate a proton, and thus, it means the...

Nidhi T.

1 0
0

Recommended Articles

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Jaipur
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2025 All Rights Reserved